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Finding the Fourth Proportional to 35,994.38, 49,672.24 and 20,078.82

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Solution

The fourth proportional to 35,994.38, 49,672.24 and 20,078.82 is: 27,708.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,994.38 : 49,672.24 = 20,078.82 : x
  2. Step 2: Convert to fraction form
    35,994.38/49,672.24 = 20,078.82/x
  3. Step 3: Cross multiply
    35,994.38x = 49,672.24 × 20,078.82
  4. Step 4: Simplify right side
    35,994.38x = 997,360,125.31
  5. Step 5: Solve for x
    x = 997,360,125.31/35,994.38
  6. Step 6: Final answer
    x = 27,708.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.